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Mice21 [21]
3 years ago
10

Which expression is equilvalent to (5g-2h)-(3h+8-4g).

Mathematics
2 answers:
liraira [26]3 years ago
7 0

<em>Answer:</em>

9g -5h - 8

<u>Step-by-step explanation:</u>

We first have to get everything out of the parentheses, so we take the negative that is surrounding the parentheses and apply it to the equation inside of it, giving us this: 5g - 2h - 3h - 8 + 4g

Then, all we need to do is simplify it into this expression: 9g -5h - 8

Dafna1 [17]3 years ago
3 0

Answer:

9g-5h-8

Step-by-step explanation:

(5g-2h)-(3h+8-4g)

Opening the brackets

5g-2h-3h-8+4g

9g-5h-8

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Pls helppppppppppppp Which equation represents a proportional relationship between x and y?
soldi70 [24.7K]

Answer:

either G y or J y

Step-by-step explanation:

3 0
3 years ago
A triangle has a height that is 5 units shorter than its base. If b represents the base and h represents the
11111nata11111 [884]

Answer: A = (b²-5b)/2

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Base =b

Height = h = b-5 (the height is 5 units shorter than the base)

Since:

Area of a triangle (A)= (base x height) ÷ 2

Replacing with the values given:

A = [b (b-5)] ÷2

A = (b²-5b)/2

Feel free to ask for more if needed or if you did not understand something.

3 0
3 years ago
if the points are (8, 4) and (0, 2) is y - 4 = 1/4(x a 8) what is the slope intercept form of the equation for this line
yanalaym [24]

Answer:

Step-by-step explanation:

Didn't you mean   y - 4 = 1/4(x - 8)?

Solve this for y to obtain the slope-intercept form.

Adding 4 to both sides, we get:

y = 1/4(x - 8) + 4, or:

y = (1/4)x - 2 + 4, or

y = (1/4)x + 2.  This is the slope intercept form.

5 0
4 years ago
You have 10 cups of a cleaning solution that is 10% white vinegar and 90% water. You want the mixture to be 20% white vinegar an
telo118 [61]

Answer:

1.25 cups

Step-by-step explanation:

The inicial concentration of the 10 cups of mixture is 10% of white vinegar and 90% water. We can then calculate the number of cups of white vinegar in the mixture:

Amount of white vinegar = 10% of 10 cups = 1 cup of white vinegar

Concentration of white vinegar = 1/10 (cups of white vinegar over cups of mixture

So, if we want to add white vinegar (x cups) until the mixture will be 20% white vinegar and 80% water, we have that:

Amount of white vinegar = (1+x) cups of white vinegar

Total number of cups in the mixture = 10+x

Concentration of white vinegar = 20% = (1+x)/(10+x)

(1+x)/(10+x) = 0.2

1 + x = 2 + 0.2x

0.8x = 1

x = 1.25 cups

You need to add 1.25 cups of white vinegar.

4 0
3 years ago
Suppose that a manager is interested in estimating the average amount of money customers spend in her store. After sampling 36 t
musickatia [10]

Answer:

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The 90% confidence interval for this case would be (38.01, 44.29) and is given.

The best interpretation for this case would be: We are 90% confident that the true average is between $ 38.01 and $ 44.29 .

And the best option would be:

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

Step-by-step explanation:

Assuming this complete question: Which statement gives a valid interpretation of the interval?

The store manager is 90% confident that the average amount spent by the 36 sampled customers is between S38.01 and $44.29.

There is a 90% chance that the mean amount spent by all customers is between S38.01 and $44.29.

There is a 90% chance that a randomly selected customer will spend between S38.01 and $44.29.

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

The 90% confidence interval for this case would be (38.01, 44.29) and is given.

The best interpretation for this case would be: We are 90% confident that the true average is between $ 38.01 and $ 44.29 .

And the best option would be:

The store manager is 90% confident that the average amount spent by all customers is between S38.01 and $44.29

8 0
4 years ago
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